Physics Letters B, ( ISI ), Volume (687), No (1), Year (2010-4) , Pages (79-83)

Title : ( The RN/CFT Correspondence )

Citation: BibTeX | EndNote

Recently it has been shown in 0901.0931 [hep-th] that the approach to extremality for the non-extremal Reissner-Nordstrom black hole is not continuous. The non-extremal RN black hole splits into two spacetimes at the extremality: an extremal black hole and a disconnected $AdS_2\\times S^2$ space which has been called the \"compactification solution\". As a possible resolution for understanding the entropy of extremal RN black hole, it has been speculated that the entropy of the non-extremal black hole may be carried by the latter solution. By uplifting the four dimensional \"compactification solution\" with electric charge $Q_e$ to a five dimensional solution, we show that this solution is dual to a CFT with central charge $c=6Q_e^3$. The Cardy formula then shows that the microscopic entropy of the CFT is the same as the macroscopic entropy of the \"compactification solution\".

Keywords

, RN black holes, Compactification solution, Central charge, CFT
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@article{paperid:1015112,
title = {The RN/CFT Correspondence},
journal = {Physics Letters B},
year = {2010},
volume = {687},
number = {1},
month = {April},
issn = {0370-2693},
pages = {79--83},
numpages = {4},
keywords = {RN black holes; Compactification solution; Central charge; CFT dual},
}